Question

Manonmayee is eating pani puri at e- seva centre. The length of her shadow is 3 feet and angle of elevation is 45° , then the height of Manonmayee is

Answer 1

Answer:

answer is 3 ft for the question

Answer 2

Concept

A Trigonometric ratios are the ratios of the sides of a right angled triangle. Sin, cos, tan, cosecant, secant and cotangent are the trigonometric ratios. sin is the ratio of perpendicular and hypotenuse, cos is the ratio of base and hypotenuse, tan is the ratio of perpendicular and base, cosecant is the ratio of hypotenuse and perpendicular, secant is the ratio of hypotenuse and base, cot is the ratio of base and perpendicular.

Given

The length of Manonmayee's shadow is 3 feet. The angle of elevation is 45°.

To find

The height of Manonmayee.

Explanation

When Manonmayee is standing she is making 90° angle  with the ground so she and the point of elevation is making a right angle triangle so we can use trigonometric ratios in this problem.

We know that tan ∅=P/B

In this problem

tan 45°=p/3

1=p/3       [tan 45°=1]

p=3

Hence the height of Manonmayee is 3 feet.

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